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423014400 = 212355217
BaseRepresentation
bin11001001101101…
…011000000000000
31002110222100200000
4121031223000000
51331242430100
6105550400000
713324364064
oct3115530000
91073870600
10423014400
111a7864a86
12b9800000
136983baa3
1440275aa4
152720c900
hex1936b000

423014400 has 468 divisors, whose sum is σ = 1663690392. Its totient is φ = 106168320.

The previous prime is 423014351. The next prime is 423014441. The reversal of 423014400 is 4410324.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24883192 + ... + 24883208.

It is an arithmetic number, because the mean of its divisors is an integer number (3554894).

Almost surely, 2423014400 is an apocalyptic number.

423014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831845196).

423014400 is an abundant number, since it is smaller than the sum of its proper divisors (1240675992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423014400 is an equidigital number, since it uses as much as digits as its factorization.

423014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 423014400 is about 20567.3138742034. The cubic root of 423014400 is about 750.6745930504.

Adding to 423014400 its reverse (4410324), we get a palindrome (427424724).

The spelling of 423014400 in words is "four hundred twenty-three million, fourteen thousand, four hundred".